213934720 has 128 divisors (see below), whose sum is σ = 542868480. Its totient is φ = 80486400.

The previous prime is 213934709. The next prime is 213934727. The reversal of 213934720 is 27439312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (213934727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813309 + ... + 813571.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2^213934720 is an apocalyptic number.

213934720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271434240).

213934720 is an abundant number, since it is smaller than the sum of its proper divisors (328933760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213934720 is a wasteful number, since it uses less digits than its factorization.

213934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 213934720 is about 14626.5074436791. The cubic root of 213934720 is about 598.0815763255.

The spelling of 213934720 in words is "two hundred thirteen million, nine hundred thirty-four thousand, seven hundred twenty".